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Finding the Third Proportional to 472,747,422.30 and 706,515,565.01

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Solution

The third proportional to 472,747,422.30 and 706,515,565.01 is: 1,055,879,355.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,747,422.30 : 706,515,565.01 = 706,515,565.01 : x
  2. Step 2: Convert to fraction form
    472,747,422.30/706,515,565.01 = 706,515,565.01/x
  3. Step 3: Cross multiply
    472,747,422.30x = 706,515,565.01 × 706,515,565.01
  4. Step 4: Simplify right side
    472,747,422.30x = 499,164,243,598,290,816
  5. Step 5: Solve for x
    x = 499,164,243,598,290,816/472,747,422.30
  6. Step 6: Final answer
    x = 1,055,879,355.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.